Question

when creating playlists for dances, dj lew likes to maintain a ratio of 4 hip hop songs: 3 country songs: 1 slow song. use a tape diagram to determine each answer. a suppose dj lew has 40 songs on his playlist. how many hip hop, country, and slow songs are on the playlist? hip hop = 40, country = 10, slow song s= 4 hip hop = 20, country = 15, slow song s= 5 hip hop = 16, country = 20, slow song s= 19 hip hop = 5, country = 20, slow song s= 15

Explanation:

Step1: Find total parts in ratio

The ratio of hip hop : country : slow songs is \(4:3:1\). So total parts \(= 4 + 3 + 1 = 8\) parts.

Step2: Find value of one part

Total songs are 40. So value of one part \(= \frac{40}{8} = 5\) songs per part.

Step3: Calculate number of each song type

• Hip hop songs: \(4\times5 = 20\)
• Country songs: \(3\times5 = 15\)
• Slow songs: \(1\times5 = 5\)

Answer:

hip hop = 20, country = 15, slow song s= 5